13003172 has 48 divisors (see below), whose sum is σ = 28318080. Its totient is φ = 5087232.

The previous prime is 13003171. The next prime is 13003219. The reversal of 13003172 is 27130031.

It is a super-3 number, since 3×13003172³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13003172.

It is not an unprimeable number, because it can be changed into a prime (13003171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50468 + ... + 50724.

It is an arithmetic number, because the mean of its divisors is an integer number (589960).

Almost surely, 2^13003172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159040).

13003172 is an abundant number, since it is smaller than the sum of its proper divisors (15314908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13003172 is a wasteful number, since it uses less digits than its factorization.

13003172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13003172 is about 3605.9911258904. The cubic root of 13003172 is about 235.1525914056.

The spelling of 13003172 in words is "thirteen million, three thousand, one hundred seventy-two".